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Finding the Fourth Proportional to 278,783.56, 418,202.70 and 160,225.48

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Solution

The fourth proportional to 278,783.56, 418,202.70 and 160,225.48 is: 240,353.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,783.56 : 418,202.70 = 160,225.48 : x
  2. Step 2: Convert to fraction form
    278,783.56/418,202.70 = 160,225.48/x
  3. Step 3: Cross multiply
    278,783.56x = 418,202.70 × 160,225.48
  4. Step 4: Simplify right side
    278,783.56x = 67,006,728,344.80
  5. Step 5: Solve for x
    x = 67,006,728,344.80/278,783.56
  6. Step 6: Final answer
    x = 240,353.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.